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Prove that (i) A nn B sube A (ii) A nn ...

Prove that (i) `A nn B sube A` (ii) `A nn B sube B` (iii) If `C sube A and C sube B,` then `C sube A nn B` (iv) `A=B =>A nn C=B nn C` for any set C, (v) If `B sube A,` then `A nnB=B` and conversely.

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